Underwater illusion . One clue used by your brain todetermine the direction of a

Question

Underwater illusion. One clue used by your brain todetermine the direction of a source of sound is the time delayt between the arrival of the sound at the ear closerto the source and the arrival at the farther ear. Assume that thesource is distant so that a wavefront from it is approximatelyplanar when it reaches you, and let D = 0.195 m representthe separation between your ears. (a) If thesource is located at angle = 32.0o infront of you (Fig. below) and the air temperature is20oC, what is t (in ms)?(b) If you are submerged in water and the soundsource is directly to your right, what is t (inms

Explanation / Answer

d = D sin = .103 m t = .103 / v Use the values, for v, available to calculate the timedifferentials requested. The illusion occurs because the speed of sound in water ismuch faster than that in air so the direction of the sound (from the side) will beinterpreted as coming from somwhere more to the front because the time differential in water is smallerthat it would be in air - the smaller the time differential the more the sound is perceived as coming fromthe front of the person.

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